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Finding the Fourth Proportional to 26,112.42, 39,175.07 and 7,644.42

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Solution

The fourth proportional to 26,112.42, 39,175.07 and 7,644.42 is: 11,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112.42 : 39,175.07 = 7,644.42 : x
  2. Step 2: Convert to fraction form
    26,112.42/39,175.07 = 7,644.42/x
  3. Step 3: Cross multiply
    26,112.42x = 39,175.07 × 7,644.42
  4. Step 4: Simplify right side
    26,112.42x = 299,470,650.39
  5. Step 5: Solve for x
    x = 299,470,650.39/26,112.42
  6. Step 6: Final answer
    x = 11,468.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.